{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cassegrain Telescope"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import optic, physical_apertures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Cassegrain(optic.Optic):\n",
    "    \"\"\"Cassegrain Telescope\n",
    "\n",
    "    Milton Laikin, Lens Design, 4th ed., CRC Press, 2007, p. 198\n",
    "    \"\"\"\n",
    "\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        # add physical aperture in primary mirror\n",
    "        aperture = physical_apertures.RadialAperture(r_max=np.inf, r_min=2)\n",
    "\n",
    "        self.add_surface(index=0, thickness=np.inf)\n",
    "        self.add_surface(\n",
    "            index=1,\n",
    "            thickness=-37.8137,\n",
    "            radius=-102.3640,\n",
    "            material=\"mirror\",\n",
    "            conic=-1.075613,\n",
    "            aperture=aperture,\n",
    "            is_stop=True,\n",
    "        )\n",
    "        self.add_surface(\n",
    "            index=2,\n",
    "            thickness=48.8327,\n",
    "            radius=-35.3325,\n",
    "            material=\"mirror\",\n",
    "            conic=-3.376732,\n",
    "        )\n",
    "        self.add_surface(index=3, thickness=0.25, radius=23.5556, material=\"N-SK16\")\n",
    "        self.add_surface(index=4, thickness=0.36, radius=97.0299, material=\"LF5\")\n",
    "        self.add_surface(index=5, thickness=0.3492, radius=-8.4651)\n",
    "        self.add_surface(index=6, thickness=0.25, radius=-6.0339, material=\"LLF1\")\n",
    "        self.add_surface(index=7, thickness=0.5, radius=2.3002, material=\"LF5\")\n",
    "        self.add_surface(index=8, thickness=5.4581, radius=8.5504)\n",
    "        self.add_surface(index=9)\n",
    "\n",
    "        self.set_aperture(aperture_type=\"imageFNO\", value=10)\n",
    "\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0)\n",
    "        self.add_field(y=0.0976)\n",
    "        self.add_field(y=0.1951)\n",
    "\n",
    "        self.add_wavelength(value=0.55, is_primary=True)\n",
    "\n",
    "        self.update_paraxial()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "telescope = Cassegrain()\n",
    "telescope.draw(num_rays=4)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
